B Magnetic field force

I would like to fine the kinetic energy of a cone that rotates around its simmetry axis.
I consider that the cone is formes by infinite cylinders with different radius and infinitesimal height. I end up with this result:
K=1/4w^2R^2hM
where w is the angular velocity R the radius h the height and M the mass of the cone.
Could you please tell me wheter or not this is correct ?

Staff: Mentor

I would like to fine the kinetic energy of a cone that rotates around its simmetry axis.
I consider that the cone is formes by infinite cylinders with different radius and infinitesimal height. I end up with this result:
K=3/28R^4Mw^2
where w is the angular velocity R the radius h the height and M the mass of the cone.
Could you please tell me wheter or not this is correct ?